
Derklord |

It does work, because the weapon doesn't get the Bodywrap's enchantments, but rather the attacks do. It works like projectile attacs, where you can stack the weapon's enchantments with the ammunition's. Of course, the enhancement bonuses don't stack, nor do duplicate abilities.
A GM might rule otherwise, because it's an unintended interaction on a already rather strong feat, but RAW, it totally works. Even better if you replace the Bodywraps of Hot Garbage with an Amulet of Mighty Fists.